Thank you fro your answers. I tried to do it with (1) Make the replacements above and then deal directly with the function f(x,y) in all its gory detail. And hopefully I did it right.
It is provided that r>0, so it is just a constant.
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I have been given that
and that
Then I am asked to show, by contradiction, that the...
It is defined as "labor Productivity Growth", but it is not defined any further. Are you (or someone else) able to see if we can differentiate (9) and get (10)?
Homework Statement
Homework Equations
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I came over these Equations when I was Reading an article. I tried to replicate the results by differentiating Equation 9 w.r.t time. However I could not do it.
Just to be sure. The growth of a variable is Equal to the time derivative of the same...
Thank you @ andrew. Good tips. At the moment I look at the growth rate in expenditure as my dependant variable. And I use a linear model, if you mean OLS- regression.
I don\t know what you mean by full interaction? I did a Hausman test and based on that I use a fixed effect model with an unique...
I am using panel- data for 30 countries over 25 years to estimate a regression model. Expenditure on cars is my dependent variable and then I use economic theory to find some explanatory variables.
First, is 30 countries and 25 years an ok sample? Or should years > countries?
Second, is it an...
Good question. From what I understand it says something about consumption preferences. And it is presented in the complicated way to give a more meaningful expression later.
What I now know is that this is simmilar to a sum and you could use sum notation to present the same and ( can it be...
1. Homework Statement
Ct= (∫0 1 (Ct(i) ̂(1-1/ε)) di)^ (ε/ε-1)
So Ct (i) denotes number of good i consumed by the household.
But what is Ct ? What does it mean to take the intgral from zero to 1 for all the Ct (i) ?Homework EquationsThe Attempt at a Solution
You are right that it should be ∂F/∂x and below should be ∂F/∂y, since ∂y/∂y is 1 and also I wrote y3 instead of y2 which could be confusing. But as you said it doesent matter cus it drops out.
The formula I found in the book says:
Slope of a level curve ( which is what I have since 2 is a constant)
F(x,y) = c ⇒ y′ = F`1 (x, y) / F`2 (x, y)
F`2 (x, y) ≠ 0
which is exactly what I did. Maybe you would get the same answer doing it your way, but what I did...
I looked up implicit differentiation in my book ( thanks for pointing me in the right direction), but it seems like that is what I have been doing even without knowing it. What I did was correct and the answer is correct.
x2y2 + (y+1)e-x=2 + x
Defines y as a differentiable function of x at point (x, y) = (0,1)
Find y′:
My attempt:
∂y/∂x =2xy3 + (-y-1)e-x=1
∂y/∂y = 3x2y2 - e-x=0
Plugging in for x and y ⇒
∂y/∂x = -3
∂y/∂x = -1
For some reason I think y′ is defined as
(∂y/∂x) /(∂y/∂y) = 3
At leas this give...